Journal ArticleDOI
Relative behavior of a coherent system with respect to another coherent system
Serkan Eryilmaz,G. Yazgı Tütüncü +1 more
- Vol. 56, Iss: 2, pp 519-529
TLDR
In this paper, the remaining lifetime and remaining number of working components of two independent coherent systems with different structures, and different types of components are considered, and signature-based expressions are obtained for the distribution of these conditional random variables.Abstract:
In this paper, two independent coherent systems with different structures, and different types of components are considered. The remaining lifetime and the remaining number of working components of system I after the failure of the system II when we know that the system II fails before the system I are studied. In particular, signature-based expressions are obtained for the distribution of these conditional random variables. Illustrative examples are provided.read more
Citations
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A Complete Bibliography of Publications in Statistical Papers
TL;DR: In this paper, the authors defined the following types of pairs of variables: 0 ≤ p < ∞ [562]. 2 [616, 407]. $229.95 [2259] and 1 ≤ p = p <∞ [548].
Journal ArticleDOI
Characterizations of the exponential distribution by the concept of residual life at random time
Mohamed Kayid,S. Izadkhah +1 more
TL;DR: In this paper, the convolution and the order statistics of k independent random lifetimes are considered as random times, and new characterizations of the exponential distribution are established based on the concept of residual life at such random times.
Journal ArticleDOI
Preservation properties of stochastic orders by transformation to the transmuted-G model
Hossein Nadeb,Hamzeh Torabi +1 more
TL;DR: In this article, the authors consider stochastic comparisons in the transmuted-G family with different parametrized distributions, and show that the transmutation-G model is a useful technique to construct some new distributions by adding a parameter.
Journal ArticleDOI
Preservation properties of stochastic orderings bytransformation to Harris family with different tiltparameters
TL;DR: In this paper, the authors reveal several stochastic comparisons in the Harris family with different tilt parameters and different baseline distributions with respect to the usual baseline distributions, i.e., the shift-stochastic, shift-proportional, proportional, and shifted proportional orderings.
Journal ArticleDOI
Characterizations of the Exponential Distribution by Some Random Hazard Rate Sequences
Mansour Shrahili,Mohamed Kayid +1 more
TL;DR: In this article , several characterizations for exponential distribution are derived from a new relative hazard rate measure, which is closely related to the concept of remaining lifetime at a random time, which considers the random times specified by the order statistics of a sample, the convolution of random variables, and the record values of a sequence of random variable.
References
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Journal ArticleDOI
Comparisons of coherent systems using stochastic precedence
Jorge Navarro,Rafael Rubio +1 more
TL;DR: In this article, it was shown that if the components in both systems are independent and satisfy the Cox proportional hazard rate (PHR) model, then these comparisons do not depend on the baseline hazard rate function.
Journal ArticleDOI
Mixture representations for the joint distribution of lifetimes of two coherent systems with shared components
TL;DR: A new distribution-free measure, the ‘joint bivariate signature’, of a pair of systems with shared components is defined, and a new representation theorem for the joint survival function of the system lifetimes is established.
Journal ArticleDOI
Mixture representations for the reliability of consecutive-k systems
TL;DR: The representations enable us to compute the reliability of linear and circular consecutive systems in a simple way and the limiting behaviour of these systems can be evaluated and stochastic ordering results can be established with the help of these mixture representations.
Journal ArticleDOI
Network Reliability Modeling Under Stochastic Process of Component Failures
Somayeh Zarezadeh,Majid Asadi +1 more
TL;DR: This paper considers a network consisting of n components, and assumes that the network has two states: up, and down, and arrives at a mixture representation for the reliability function of the network lifetime.
Journal ArticleDOI
A note on the mean past and the mean residual life of a (n − k + 1)-out-of-n system under multi monitoring
TL;DR: In this article, the authors considered a (n − k + 1)-out-of-n system consisting of n identical components such that the lifetimes of components are independent and have a common distribution function.
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